Assume newborn baby weights are Normally distributed with a mean of 7.6lbs and a variance of...
Assume newborn baby weights are Normally distributed with a mean of 7.6lbs and a variance of 0.6lbs. You take a random sample of 3 newborn babies and weight them. Let X be the number of newborn babies in the sample that weight less than 8lbs. Fund Var(X)
Homework Answers
Solution :
Given that ,
mean = 
= 7.6
standard deviation = 
= 
0.61 = 0.7810
n = 3
=
= 7.6
=
/
n = 0.7810/
3 = 0.4509
P(
< 8) = P((
-
) /
< (8-7.6) /0.4509 )
= P(z <0.89 )
= 0.8133
probability = 0.8133
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